A Global Measure of a Spline Density Estimate

Keh-Shin Lii

doi:10.1214/aos/1176344316

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Home > Journals > Ann. Statist. > Volume 6 > Issue 5 > Article

September, 1978 A Global Measure of a Spline Density Estimate

Keh-Shin Lii

Ann. Statist. 6(5): 1138-1148 (September, 1978). DOI: 10.1214/aos/1176344316

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Abstract

A spline density function estimate is considered. Limit theorems are obtained for a quadratic norm of the normalized deviation of the estimate from its expected value. Results obtained can be used in a test of goodness of fit. Some of the commonly used boundary conditions for the spline function are considered. It appears that in some situations certain boundary conditions are undesirable.

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Keh-Shin Lii. "A Global Measure of a Spline Density Estimate." Ann. Statist. 6 (5) 1138 - 1148, September, 1978. https://doi.org/10.1214/aos/1176344316

Information

Published: September, 1978

First available in Project Euclid: 12 April 2007

zbMATH: 0383.62022

MathSciNet: MR518888

Digital Object Identifier: 10.1214/aos/1176344316

Subjects:

Primary: 62G05

Secondary: 62E15

Keywords: asymptotic distribution , boundary condition , Density function estimate , Gaussian process , global measure of deviation , Goodness-of-fit test , spline function

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